Quantum bi-Hamiltonian systems

Authors
Carinena, JF Grabowski, J Marmo, G
Citation
Jf. Carinena et al., Quantum bi-Hamiltonian systems, INT J MOD P, 15(30), 2000, pp. 4797-4810
Citations number
12
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
15
Issue
30
Year of publication
2000
Pages
4797 - 4810
Database
ISI
SICI code
0217-751X(200012)15:30<4797:QBS>2.0.ZU;2-Z
Abstract
We define quantum bi-Hamiltonian systems, by analogy with the classical cas e, as derivations in operator algebras which are inner derivations with res pect to two compatible associative structures. We find such structures by m eans of the associative version of Nijenhuis tensors. Explicit examples, e. g. for the harmonic oscillator, are given.